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Finding the Fourth Proportional to 45,314.70, 67,972.05 and 31,317.90

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Solution

The fourth proportional to 45,314.70, 67,972.05 and 31,317.90 is: 46,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.70 : 67,972.05 = 31,317.90 : x
  2. Step 2: Convert to fraction form
    45,314.70/67,972.05 = 31,317.90/x
  3. Step 3: Cross multiply
    45,314.70x = 67,972.05 × 31,317.90
  4. Step 4: Simplify right side
    45,314.70x = 2,128,741,864.70
  5. Step 5: Solve for x
    x = 2,128,741,864.70/45,314.70
  6. Step 6: Final answer
    x = 46,976.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.